Belfour, in his first season with Toronto, missed three games last week before returning for losses on Friday and Saturday.
According to team officials, it was more important for Belfour to get the five days rest instead of "displaying his skill" next weekend.
Belfour is 21-14-3 with five shutouts, a 2.15 goals-against average, and .925 save percentage. He signed over the summer after Curtis Joseph left for Detroit.
Jokinen, who leads all Eastern Conference centers in goals, joins teammate Sandis Ozolinsh on the Eastern Conference squad. He has 25 goals and 17 assists in 49 games this season.
Koivu, who overcame non-Hodgkin's Lymphoma in 2001-02, has 13 goals and 33 assists in 51 games this season.
Leetch, who has not played since Dec. 3, is out with an ankle injury. Prior to the injury, he had 15 points in 28 games.
Poti, 25, making the first All-Star appearance of his career, has seven goals and 31 assists in 51 games. The points and assists already are career highs.
Pittsburgh superstar Mario Lemieux also is contemplating skipping the contest. The league's leading scorer is battling a groin pull.
Meanwhile, Mike Modano of Dallas was named captain of the West squad on Tuesday.
Modano, 32, the Stars' all-time leading scorer, is making his fifth All-Star Game appearance but first start. He led all conference centers in fan voting.
"It's a tremendous honor to be named captain of the Western Conference All-Star team," Modano said. "Being voted in as a starter by the fans, as well as having Bill and Marty there makes it even more special. I am looking forward to the entire weekend in Florida."
Modano leads the Stars in points (56) and assists (36), and is second in goals (20). His 56 points rank him fifth in the league.